41150347560 has 768 divisors, whose sum is σ = 167110594560. Its totient is φ = 8569774080.

The previous prime is 41150347541. The next prime is 41150347597. The reversal of 41150347560 is 6574305114.

41150347560 is a `hidden beast` number, since 4 + 1 + 1 + 50 + 3 + 47 + 560 = 666.

It is a super-2 number, since 2×41150347560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 252456039 + ... + 252456201.

It is an arithmetic number, because the mean of its divisors is an integer number (217591920).

Almost surely, 2^41150347560 is an apocalyptic number.

41150347560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41150347560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83555297280).

41150347560 is an abundant number, since it is smaller than the sum of its proper divisors (125960247000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41150347560 is a wasteful number, since it uses less digits than its factorization.

41150347560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 41150347560 in words is "forty-one billion, one hundred fifty million, three hundred forty-seven thousand, five hundred sixty".